11504524552440 has 256 divisors, whose sum is σ = 35839991808000. Its totient is φ = 2951176550400.

The previous prime is 11504524552429. The next prime is 11504524552447. The reversal of 11504524552440 is 4425542540511.

It is a junction number, because it is equal to n+sod(n) for n = 11504524552392 and 11504524552401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11504524552447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1100590254 + ... + 1100600706.

It is an arithmetic number, because the mean of its divisors is an integer number (139999968000).

Almost surely, 2^{11504524552440} is an apocalyptic number.

11504524552440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11504524552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919995904000).

11504524552440 is an abundant number, since it is smaller than the sum of its proper divisors (24335467255560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11504524552440 is a wasteful number, since it uses less digits than its factorization.

11504524552440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238 (or 12234 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

The spelling of 11504524552440 in words is "eleven trillion, five hundred four billion, five hundred twenty-four million, five hundred fifty-two thousand, four hundred forty".